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Finding the Fourth Proportional to 17,970.18, 24,798.30 and 10,416.66

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Solution

The fourth proportional to 17,970.18, 24,798.30 and 10,416.66 is: 14,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.18 : 24,798.30 = 10,416.66 : x
  2. Step 2: Convert to fraction form
    17,970.18/24,798.30 = 10,416.66/x
  3. Step 3: Cross multiply
    17,970.18x = 24,798.30 × 10,416.66
  4. Step 4: Simplify right side
    17,970.18x = 258,315,459.68
  5. Step 5: Solve for x
    x = 258,315,459.68/17,970.18
  6. Step 6: Final answer
    x = 14,374.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.